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One-dimensional model for a laser-ablated slab under acceleration

Published online by Cambridge University Press:  01 June 2004

J. RAMÍREZ
Affiliation:
E.T.S.I. Aeronáuticos, Universidad Politécnica Madrid, Pl. Cardenal Cisneros, 1, 28040 Madrid, Spain
R. RAMIS
Affiliation:
E.T.S.I. Aeronáuticos, Universidad Politécnica Madrid, Pl. Cardenal Cisneros, 1, 28040 Madrid, Spain
J. SANZ
Affiliation:
E.T.S.I. Aeronáuticos, Universidad Politécnica Madrid, Pl. Cardenal Cisneros, 1, 28040 Madrid, Spain

Abstract

A one-dimensional model for a laser-ablated slab under acceleration g is developed. A characteristic value gc is found to separate two solutions: Lower g values allow sonic or subsonic flow at the critical surface; for higher g the sonic point approaches closer and closer to the slab surface. A significant reduction in the ablation pressure is found in comparison to the g = 0 case. A simple dependence law between the ablation pressure and the slab acceleration, from the initial value g0 to infinity, is identified. Results compared well with fully hydrodynamic computer simulations with Multi2D code. The model has also been found a key step to produce indefinitely steady numerical solutions to study Rayleigh–Taylor instabilities in heat ablation fronts, and validate other theoretical analysis of the problem.

Type
Research Article
Copyright
© 2004 Cambridge University Press

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References

REFERENCES

Kull, H.J. (1989). Incompressible description of Rayleigh-Taylor instabilities in laser-ablated plasmas. Phys. Fluids B 1, 170182.Google Scholar
Kull, H.J. (1991). Theory of the Rayleigh-Taylor instability. Phys. Rep. 206, 197325.Google Scholar
Kull, H.J. & Anisimov, S.I. (1986). Ablative stabilization in the incompressible Rayleigh-Taylor instability. Phys. Fluids 29, 20672075.Google Scholar
Max, C.E., McKee, C.F. & Mead, W.C. (1980). A model for laser-driven ablative implosions. Phys. Fluids 23, 16201645.Google Scholar
Ramis, R. & Meyer-ter-Vehn, J. (1992). A computer code for two-dimensional radiation hydrodynamics, Report MPQ-174. Max-Planck Institute für Quantenoptik. Garching, Germany.
Sanz, J. (1996). Self-consistent analytical model of the Rayleigh-Taylor instability in inertial confinement fusion. Phys. Rev. E 53, 40264045.Google Scholar
Sanz, J., Linan, A., Rodriguez, M. & Sanmartìn, J.R. (1981). Quasi-steady expansion of plasmas ablated from laser-irradiated pellets. Phys. Fluids 24, 20982106.Google Scholar
Sanz, J., Ramirez, J., Ramis, R., Betti, R. & Town, R.P.J. (2002). Nonlinear theory of the ablative Rayleigh-Taylor instability. Phys. Rev. Lett. 89, 195002-1195002-4.Google Scholar
Takabe, H., Montierth, L. & Morse, R.L. (1983). Self-consistent eigenvalue analysis of Rayleigh-Taylor instability in an ablating plasma. Phys. Fluids 26, 22992307.Google Scholar